8 citations · 10 across the 9 of their papers we have counts for
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Explicit Planar Finite Element Elasticity Complexes and Elements on Barycentric Refinements
Chunyu Chen, Long Chen, Xuehai Huang
The exact-sequence structure behind the Arnold--Douglas--Gupta family of higher-order mixed finite elements for plane elasticity on barycentric refinements is made explicit. On eac…
FEALPy: A Cross-platform Intelligent Numerical Simulation Engine
Yangyang Zheng, Huayi Wei, Yunqing Huang +5
In resent years, the software ecosystem for numerical simulation still remains fragmented, with different algorithms and discretization methods often implemented in isolation, each…
Implementation and Basis Construction for Smooth Finite Element Spaces
Chunyu Chen, Long Chen, Tingyi Gao +2
The construction of conforming finite elements on simplicial meshes has recently advanced through the groundbreaking work of Hu, Lin, and Wu (Found. Comput. Math. 24, 2024).…
Global Energy Minimization for Simplex Mesh Optimization: A Radius Ratio Approach to Sliver Elimination
Dong Wang, Chunyu Chen, Huayi Wei
This paper constructs an energy function for simplex mesh based on the radius ratio and develops a corresponding mesh optimization method. The method combines vertex relocation and…
High-Order Interior Penalty Finite Element Methods for Fourth-Order Phase-Field Models in Fracture Analysis
Tian Tian, Chen Chunyu, Wei Huayi
This paper presents a novel approach for solving fourth-order phase-field models in brittle fracture mechanics using the Interior Penalty Finite Element Method (IP-FEM). The fourth…
Adaptive Finite Element Method for Phase Field Fracture Models Based on Recovery Error Estimates
Tian Tian, Chen Chunyu, He Liang +1
The phase field model is a widely used mathematical approach for describing crack propagation in continuum damage fractures. In the context of phase field fracture simulations, ada…
Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements
Chunyu Chen, Long Chen, Xuehai Huang +1
This study investigates high-order face and edge elements in finite element methods, with a focus on their geometric attributes, indexing management, and practical application. The…
Anisotropic analysis of VEM for time-harmonic Maxwell equations in inhomogeneous media with low regularity
Chunyu Chen, Ruchi Guo, Huayi Wei
It has been extensively studied in the literature that solving Maxwell equations is very sensitive to the mesh structure, space conformity and solution regularity. Roughly speaking…
Virtual Element Methods Without Extrinsic Stabilization
Chunyu Chen, Xuehai Huang, Huayi Wei
Virtual element methods (VEMs) without extrinsic stabilization in arbitrary degree of polynomial are developed for second order elliptic problems, including a nonconforming VEM and…